Question

\\(3x - 2y = -12\\)

Explanation:

Convert to slope-intercept form

Using the Standard Form to Slope-Intercept Form knowledge point

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LATEXBLOCK0
$$

Identify key graphing features

Using the Slope-Intercept Form knowledge point

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LATEXBLOCK1
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Plot the linear equation

Using the Graphing Linear Equations knowledge point

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LATEXBLOCK2
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Answer:

To graph the linear equation \(3x - 2y = -12\), we first rewrite it in slope-intercept form:

$$y = \frac{3}{2}x + 6$$

• y-intercept: \((0, 6)\)
• Slope: \(\frac{3}{2}\) (rise \(3\), run \(2\))
• Additional points: \((-2, 3)\) and \((2, 9)\)